ISSN 1004-4140
CN 11-3017/P

基于时变子波的Q值估计方法

Q-factor Estimation Method Based on Time-varying Wavelet

  • 摘要: 谱比法是估计Q值的常用方法,根据不同时刻地震子波对数谱比值与Q值之间的线性关系估算品质因子Q。时频域谱比法的基本思想是用时频谱分析提取不同时刻的频谱,代表对应时刻的地震子波频谱,忽略反射系数对地震子波的影响。由于受到局部反射系数的影响,时频谱比法求取Q时地震子波对数谱比往往具有复杂的多峰形态,偏离了对数谱比随频率线性变化的关系,线性拟合求取的Q值误差较大,不满足地层岩性解释和孔隙流体预测的要求。针对以上问题,将复赛谱分析与广义S变换相结合,提出一种消除反射系数影响的时变子波频谱提取方法,提高Q值估计的精度。利用广义S变换将地震记录变换到时频域,对地震记录的时频谱取对数,得到不同时刻地震记录的复赛谱。在复赛谱域子波位于低频段,反射系数位于中高频段。因此利用最小二乘法对低频段复赛谱进行平滑拟合,得到子波的复赛谱,再取复赛谱的指数,得到时变子波的频谱,通过相邻时刻子波的对数频谱比与Q值的线性关系计算Q值。模型测试结果验证时变子波提取的准确性以及估计Q值的可行性和抗噪性,东部某油田实际地震数据的应用结果验证该方法的有效性。

     

    Abstract: The spectral ratio method is a technique commonly used for estimating Q values. It calculates the quality factor Q based on the linear relationship between the logarithmic spectral ratio of seismic wavelets at different times and the Q value. The core idea of the time-frequency domain spectral ratio method is to extract the spectral distribution at different moments via time-frequency spectrum analysis, representing the frequency spectrum of seismic wavelets at those moments while ignoring the influence of reflection coefficients. However, because of the impact of local reflection coefficients, the logarithmic spectral ratios of seismic wavelets obtained via the time-frequency spectral ratio method often exhibit complex multi-peak patterns, deviating from the linear relationship between logarithmic spectral ratios and frequency. This leads to significant errors in Q values derived from linear fitting, which fail to meet the requirements for lithological interpretation and pore fluid prediction. To address the issues, the present study combines cepstral analysis with the Generalized S-transform to propose a time-varying wavelet spectrum extraction method that eliminates the influence of reflection coefficients, thereby improving the Q estimation accuracy. First, the Generalized S-transform is applied to convert seismic records into the time-frequency domain. The logarithmic time-frequency spectrum of the seismic records is then computed to obtain their cepstra at different times. In the cepstral domain, the wavelet components reside in the low-frequency band, whereas reflection coefficients occupy the mid-to-high-frequency bands. By applying least-squares smoothing to the low-frequency cepstral components, the wavelet cepstrum is derived. Taking the exponential of the cepstrum reconstructs the spectrum of the time-varying wavelet. Finally, Q values are calculated using the linear relationship between the logarithmic spectral ratios of adjacent wavelets and the Q value. Model tests validate the accuracy of time-varying wavelet extraction, as well as the feasibility and noise resistance of Q estimation. Application to real seismic data from an oilfield in eastern China further confirms the effectiveness of the method.

     

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